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3 years ago

The distance between two points is 6√5. One endpoint is (4,−3). It is known that the y-coordinate of the other endpoint is 7.

Mathematics

1 answer:

boyakko [2]3 years ago

8 0

(2,-4)snhfbdjsnsndusma

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Which of the following functions represent exponential decay?

Zina [86]

Option C: $f(x)=3^{5}\left(\frac{1}{3}\right)^{x}$ is the function that represent exponential decay.

Explanation:

The exponential decay can be represented by

$f(x)=a \cdot b^{x}$ where $a>0$ and $0$

Option A: $f(x)=3(1.7)^{x-2}$

From the function, we can see that $a=3$ and $b=1.7$

Thus, $a>0$ and $b>1$

Thus, the function $f(x)=3(1.7)^{x-2}$ does not represent exponential decay.

Hence, Option A is not the correct answer.

Option B: $f(x)=3(1.7)^{-2 x}$

From the function, we can see that $a=3$ and $b=1.7$

Thus, $a>0$ and $b>1$

Thus, the function $f(x)=3(1.7)^{-2 x}$ does not represent exponential decay.

Hence, Option B is not the correct answer.

Option C: $f(x)=3^{5}\left(\frac{1}{3}\right)^{x}$

From the function, we can see that $a=3^5=243$ and $b=\frac{1}{3} =0.3333$

Thus, $a>0$ and $0$

Thus, the function $f(x)=3^{5}\left(\frac{1}{3}\right)^{x}$ represent exponential decay.

Hence, Option C is the correct answer.

Option D: $f(x)=3^{5}(2)^{-x}$

From the function, we can see that $a=3^5=243$ and $b=2$

Thus, $a>0$ and $b>1$

Thus, the function $f(x)=3^{5}(2)^{-x}$ does not represent exponential decay.

Hence, Option D is not the correct answer.

8 0

4 years ago

Help me please!

zavuch27 [327]

C because the cost of the private school divided by 4 is 24,618

4 0

3 years ago

Draw a bar model that shows how the number of hours in March compares with the number of hours in February of this year.

gogolik [260]

Okay so first we need to find how many days are in March and February. March has 31 days and because this year was a leap year February has 29 days.

The next step is to convert days to hours.
March: 31x24=744
February: 29x24=696

Now its time to graph

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4 years ago

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Vitek1552 [10]

For the answer to the question above, it is -18% because to find rate we subtract the rate, in this case, is .82 or 82% - 1 or 100% and that would give you the rate, in this case, its decreasing by an 18%
I hope my answer helped you.

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evan typed 72 pages of notes one day. He typed 1/2 of the pages in the morning and 1/3 of the pages in the afternoon. He typed t

Natalka [10]

1/2* 72 = 36
<span>1/3* 72 = 24
60 pages</span>

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